All Abstracts | Poster Abstracts | Talk Abstracts

Addressable multi-qubit logic via permutations

Jim Harrington, HRL Laboratories

(Session 10b : Saturday from 4:30pm-5:00pm)

Abstract. An important issue when encoding multiple logical qubits into a single code block is identifying how to separately address the different logical qubits. Previous schemes have generally required unpacking of the logical qubits into empty code blocks before computing on them, thus giving up much of the space advantage of these codes. We solve the addressability problem by instead taking advantage of the permutation automorphism structure of the 15-qubit Hamming code, and we present schemes for implementing targeted logical gates with a space efficiency of one-third or two-fifths. This is joint work with Ben Reichardt. Sponsored by United States Department of Defense.